Search a number
-
+
14626272 = 253251607
BaseRepresentation
bin110111110010…
…110111100000
31000112002110210
4313302313200
512221020042
61241254120
7235215123
oct67626740
930462423
1014626272
11828aa31
124a94340
1330514cb
141d2a3ba
15143da9c
hexdf2de0

14626272 has 48 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 4848000.

The previous prime is 14626253. The next prime is 14626303. The reversal of 14626272 is 27262641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23793 + ... + 24399.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 214626272 is an apocalyptic number.

14626272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

14626272 is an abundant number, since it is smaller than the sum of its proper divisors (23984160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14626272 is a wasteful number, since it uses less digits than its factorization.

14626272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 14626272 is about 3824.4309380612. The cubic root of 14626272 is about 244.5557519410. Note that the first 3 decimals are identical.

The spelling of 14626272 in words is "fourteen million, six hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 607 753 1004 1214 1506 1821 2008 2428 3012 3642 4016 4856 6024 7284 8032 9712 12048 14568 19424 24096 29136 58272 152357 304714 457071 609428 914142 1218856 1828284 2437712 3656568 4875424 7313136 14626272